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e-paracompact

Last-modified: 2010-12-30 (木) 18:17:37

Definition Edit

Let X be a topological space, A a subset of X.
We say A is parabounded if X is <X-A>-paracompact (see ideal (family of subsets) for notation <X-A>).
X is called e-paracompact with respect to A if A is a dense parabounded set.
X is called e-paracompact if there exists such a subset A.

Reference Edit

  • T. R. Hamlett and Dragan Jankovic, On Weaker Forms of Paracompactness, Countable Compactness, and Lindelöfness, Annals of the New York Academy of Sciences Volume 728, General Topology and Applications pages 41–49, November 1994.